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Finding the Fourth Proportional to 14,693.84, 22,020.92 and 6,885.20

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Solution

The fourth proportional to 14,693.84, 22,020.92 and 6,885.20 is: 10,318.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,693.84 : 22,020.92 = 6,885.20 : x
  2. Step 2: Convert to fraction form
    14,693.84/22,020.92 = 6,885.20/x
  3. Step 3: Cross multiply
    14,693.84x = 22,020.92 × 6,885.20
  4. Step 4: Simplify right side
    14,693.84x = 151,618,438.38
  5. Step 5: Solve for x
    x = 151,618,438.38/14,693.84
  6. Step 6: Final answer
    x = 10,318.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.